%3D Show that the function below is continuous but not differential at r = 1. 2.r -3 if f(r) = 3r 4. if

Q: p>Find the second derivative of f (x)= x*e" . a a |a| sin (a) f" (x) =

A: Let f(x) = x4ex Taking derivative from both sides, To find first derivative, need to use product…

Q: 2 (y – k) y' = 4a Find the Derivative - d/dy Since 4a is constant with respect to y, the derivative…

A: (1). The given expression is:2y-ky'=4a

Q: rapidly at Po, Then find the derivatives of the functions in these directions f(x, y) = x²y + e" sin…

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Q: A.) use implicit differential to find (dy/dx)  B. ) Find the slope of the curve at the given point.…

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Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: (e) y = (x³ + 1)² () y = (x² +5)³

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Q: Use differential approximations in the following problem. A company will sell N units of a product…

A: Given N=70x-x² where N is number of units and x is the spent in thousand dollars To answer the…

Q: 3. Find the derivative y' for y= (x+1)*e*1 in at least two steps: step 1 y' step 2 y' =

A: we have to find the derivative of the following given y.

Q: y=vx. What is y's differential? What would the value of v17 given x=16?

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Q: (a) Find the derivative of the following functions (i) y = a² sin“ x +æ cos-2 x. (ii) y = e(+v#+x²),

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Q: Q4: Find the derivative of the function at P. in the direction of A 2) g(x, y) = x - (y² /x)+ J3…

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Q: Find the differential of the function. y= e^x /  1−e^x

A: We have to find

Q: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

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Q: f(x)=1/2-x a) find the approximate rate of change at x=3 by using a secant  b) how could you make…

A: Please check step 2 for the solution.!

Q: 3T? What is the average rate of change of the following function between x =T and f(2) = 2 sin (z- )…

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Q: 7 dy for the function y dx The derivative +

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Q: 4a) Use differentials to approximate V9.7 . Round the final answer to three decimal places. 4b) Find…

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Q: 5. Find the following derivatives: a) y = x?e-2/x b) y = t tan -t- t -Int

A: Given:  5)a) y=x2e-2xb) y=ttan-1t-12lnt To find: Derivatives of the given functon.

Q: A2) Find the derivative of the following functions: L tanz (d). g(z) 3 - secz

A: The given function is fx=tanx3-secxWe need to find the derivative of the function.Formulae to be…

Q: dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

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Q: 5z Find the derivative of the function w = 1+4z dw dz

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Q: -2.r 3. Calculate the derivative of g(r) = arctan then verify that it simplifies to g'(r) = %3D

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Q: SCALCETS 5.3.013. MY NOTES ASK YOUR TEACHER 3. Use Part 1 of the Fundamental Theorem of Calculus to…

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Q: (c) Can your answers to the previous part(s) show that g is invertible? Explain briefly. (d) Find…

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Q: 1 Q/ Find the derivative of R(z) Vz 8z4 E Add file amit

A: Solution: The objective is to find the derivative of the given function

Q: Q:: Find dy for the following functions: - dx a- y = (cosx)æ (use logarithm differential)

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Q: Find the differential of each function. (a)     y = etan(πt) (b)     y = sqrt(1+ln(z))

A: given y = etan(πt) we need to find the derivative of the above function…

Q: z(r) = cosʻ(r)/1+r² ?

A: given equation  apply natural log

Q: 60.) f(x, t) = x²e¯¤¹; fm, fixx

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Q: Find the differential of the function. p = 39 - 893/2 dp =

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Q: Find the derivative of the function at Po in the direction of A. f(x,у) - 4хy + 3у?, Po(-1,1), А-D6і…

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Q: f (x y) = x" + 6ly -10 what cre the first derivatives of the funchion?

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Q: LH.S.-R.H.S. HW/ Brove-that: (1) 1-tanhf x sech'x 12 11

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Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: Use differential approximations in the following problem. A company will sell N units of a product…

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Q: a) Use the Chain rule to find the derivative of z = e*y with respect to t if X =t cost and y t sin…

A: We will solve the following.

Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: (x³ + bx + a, xs-1 lbx? - Let f(x) = .Then the values of a and b so that the %3D -a, x >-1…

A: The function is: f(x)=x3+bx+a, x≤-1bx2-a,      x>-1 So, the function is continuous at x=-1 if…

Q: 1 secz The derivative of the function y at z = 1 is equal to Select one: O a.-1 b. Does not exist…

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Q: 3. Find the derivative y' for y= (x+1)³e³*-1 in at least two steps: step 1 y' = step 2 y' =

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Q: The derivative of hyperbolic for cosh x= e- e /2 True O Flase

A: Given: coshx=ex−ex2

Q: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

A: Solution:

Q: (a) Find the first and second derivatives of the following function (1² + x)(x² – x + 1) f(x) = %3D…

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Q: iven: ƒ (x) = Ax? + Bx where A 6 and B= 5 ind: f' (x) using LONG METHOD DERIVATIVES.

A: We can find the answer as below

Q: (29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x)…

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Q: y = (5x' -x*)" calculate the derivative value of y at x=1. y'(1)=? O A) 67 OB) 57 OC) 77 OD) 87 OE)…

A: We will use chain rule of differentiation

Q: (6 pts.) Find the derivative of the given function a F(x) = dt 0 14 b g(x) = [| dt

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Q: DETAILS Find the indicated derivative. dp for p= q + 2 49-5 bp dp d +2 P dq [ 4q -5'q

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